Atkin-Lehner |
3+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117117g |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
26237952 |
Modular degree for the optimal curve |
Δ |
-2.1923961186168E+24 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-289435938,1896705634175] |
[a1,a2,a3,a4,a6] |
Generators |
[335493015495946:-67529518577682073:7335308807] |
Generators of the group modulo torsion |
j |
-12846937564867743/10503585169 |
j-invariant |
L |
6.8674072336343 |
L(r)(E,1)/r! |
Ω |
0.081654678179302 |
Real period |
R |
21.025761590531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117117i1 117117e1 |
Quadratic twists by: -3 13 |